is 2 2083981 - 1
has 627341 decimal digits
takes 0.137 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L18ACF941966AAC68double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.258268.6567%500000150000000.12305.1484%14.381270.2704%1.6137%
PrimeNet2580.018463.7931%90001600000.00162.6739%0.020164.7612%0.9681%
GPU722620.294866.1290%90001400000.00151.3994%0.296366.6030%0.4740%
Difference+5+13.9634+2.5277%+491000+14860000+0.1214+3.7490%+14.0849+3.6674%+3.6674%

Known prime factors (1 factor, 64.1 bits, 0.00307471% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2083981194497282780113741112064.0764666484070155
5 × 19 × 61 × 229 × 3516421
2009-11-0422935164211.79140.01830.0341

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.276%
2009-07-26T14:56:00harleeP4_260020000260000---0.003--1.019%
2016-03-16T13:43:01alpertronManual testing5000001500000012-
skipped known factor: 19449728278011374111
--0.123--5.148%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-12-30T00:00:00ANONYMOUSv4_computers21257--0.009--
1999-01-17T00:00:00ANONYMOUSv4_computers21258--0.018--
2022-03-09T08:46:53LordJuliusManual testing21260--0.074--
2009-01-02T19:23:00Sturle Sundeklengel.ifi260261--0.074--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.796 GHz-days
Estimated T-Level:1.550
DigitsB1CurvesCompleteFacMiss
201100031 / 1000.31073.230%
255000031 / 2800.11189.502%

New Calculation Method

Total ECM effort:2.796 GHz-days
Estimated T-Level:1.550
DigitsB1CompleteFacMiss
20110001.23729.020%
25500000.11489.213%
302500000.00799.280%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
500005000000171.445
50000657095070.671
50000675000070.680


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-12-30T00:00:00ANONYMOUSv4_computers18ACF941966AAC680.137
1999-03-01T00:00:00ANONYMOUSv4_computers18ACF941966AAC680.137


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-06T17:58:42Oliver KruseGTX-2
19449728278011374111
5BC5E9C0CF2D7D__no
2017-11-16T19:22:34kkmrkkblmbrbkold
19449728278011374111
5BC5E9C0CF2D7D__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
TF factor-bounds graph:
267
261
260
258
257
250
260
270
280
290
2100
Last modified: 2022-07-06T21:42:25+00:00